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42005253415050 = 232521495631112747
BaseRepresentation
bin10011000110100000111000…
…01101010110000010001010
312111201122220022222222221100
421203100130031112002022
521001203224333240200
6225200540320122230
711563531223613462
oct1143203415260212
9174648808888840
1042005253415050
1112425367529392
124864a96466376
131a59103327643
14a530ca954ba2
154cc9be00bd00
hex26341c35608a

42005253415050 has 144 divisors (see below), whose sum is σ = 113813423287200. Its totient is φ = 11106451355520.

The previous prime is 42005253415009. The next prime is 42005253415093. The reversal of 42005253415050 is 5051435250024.

42005253415050 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 525 + 34 + 1 + 50 + 50 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42005253414996 and 42005253415014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37192777 + ... + 38305523.

It is an arithmetic number, because the mean of its divisors is an integer number (790370995050).

Almost surely, 242005253415050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42005253415050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56906711643600).

42005253415050 is an abundant number, since it is smaller than the sum of its proper divisors (71808169872150).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42005253415050 is a wasteful number, since it uses less digits than its factorization.

42005253415050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113477 (or 1113469 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 42005253415050 its reverse (5051435250024), we get a palindrome (47056688665074).

The spelling of 42005253415050 in words is "forty-two trillion, five billion, two hundred fifty-three million, four hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 563 745 894 1126 1341 1490 1689 2235 2682 2815 3378 3725 4470 5067 5630 6705 7450 8445 10134 11175 13410 14075 16890 22350 25335 28150 33525 42225 50670 67050 83887 84450 126675 167774 251661 253350 419435 503322 754983 838870 1112747 1258305 1509966 2097175 2225494 2516610 3338241 3774915 4194350 5563735 6291525 6676482 7549830 10014723 11127470 12583050 16691205 18874575 20029446 27818675 33382410 37749150 50073615 55637350 83456025 100147230 165799303 166912050 250368075 331598606 497397909 500736150 626476561 828996515 994795818 1252953122 1492193727 1657993030 1879429683 2486989545 2984387454 3132382805 3758859366 4144982575 4973979090 5638289049 6264765610 7460968635 8289965150 9397148415 11276578098 12434947725 14921937270 15661914025 18794296830 24869895450 28191445245 31323828050 37304843175 46985742075 56382890490 74609686350 93345007589 93971484150 140957226225 186690015178 280035022767 281914452450 466725037945 560070045534 840105068301 933450075890 1400175113835 1680210136602 2333625189725 2800350227670 4200525341505 4667250379450 7000875569175 8401050683010 14001751138350 21002626707525 42005253415050